Question

find the base of a triangle whose area is 0.48 dm sq. and altitude is 8 cm​

Answer 1

Answer :

➥ The base of a traingle = 12 cm

Given :

➤ Area of a traingle = 0.48 dm

➤ Altitude of a traingle (h) = 8 cm

To Find :

➤ Base of a traingle (b) = ?

Solution :

◈ Area = 0.48 dm = 0.48 × 100 = 48 cm

Let ,

The base of a traingle be "b"

As we know that

$\tt{: \implies Area \: of \: a \: traingle = \dfrac{1}{2} \times base \times height}$

$\tt{: \implies 48= \dfrac{1}{ \cancel{ \: 2 \: }} \times b \times \cancel{ \: 8 \: } }$

$\tt{: \implies 48 = b \times 4}$

$\tt{: \implies 148 = 4b}$

$\tt{: \implies \cancel{\dfrac{48}{4}} = b}$

$\bf{: \implies \underline{ \: \: \underline{ \purple{ \: \: b = 12 \: cm \: \: }} \: \: }}$

Hence, the base of a traingle is 12 cm.

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Additional Information :

What are triangles ?

➜ A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

How many types of triangles ?

➜ There are basically six types of triangles. They are:

1. Scalene Triangles
2. Isosceles triangles
3. Equilateral triangles
4. Acute triangles
5. Obtuse triangles
6. Right triangles

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Answer 2

Given :-

• Area of a Δ = 0.48dm²

• Altitude of a Δ = 8cm

To Find :-

• The base of a Δ .

Solution :-

➡ Area of a Δ = 0.48 × 100 = 48cm²

As we know that,

${ \underline{ \boxed{ \red{ \rm{Area \: of \: Δ = \frac{1}{2} \times base \times height }}}}}$

[ Putting values ]

➡ 48 = 1/2 × base × 8

➡ 48 = base × 4

➡ base = 48/4

➡ base = 12cm

Hence,

${ \underline{ \boxed{ \rm{ \huge{ \blue{The \: base \: of \: a \: Δ \: is \: 12cm .}}}}}}$